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UniformBar-F-S-visco-analytical.mws
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UniformBar-F-S-visco-analytical.mws
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{VERSION 6 0 "IBM INTEL NT" "6.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Times" 1 12 255 0 0 1 2 1 2 2
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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "#Single Element,Forc
e and Displacement Control,Viscoelastic\n" }{MPLTEXT 1 0 12 "Digits:=1
0:\n" }{MPLTEXT 1 0 14 "with(linalg):\n" }{MPLTEXT 1 0 16 "with(inttra
ns):\n" }{MPLTEXT 1 0 11 "rho:=2300:\n" }{MPLTEXT 1 0 12 "E1:=8100E6:
\n" }{MPLTEXT 1 0 12 "E2:=4050E6:\n" }{MPLTEXT 1 0 13 "eta1:=200E6:\n
" }{MPLTEXT 1 0 13 "eta2:=150E6:\n" }{MPLTEXT 1 0 252 "E := (omega^2*(
(eta1/E1+eta1/E2+eta2/E2)*eta1-eta1*eta2*(1-eta1*eta2*omega^2/(E1*E2))
/E2)+I*omega*((eta1/E1+eta1/E2+eta2/E2)*eta1*eta2*omega^2/E2-eta1*(1-e
ta1*eta2*omega^2/(E1*E2))))/((eta1/E1+eta1/E2+eta2/E2)*omega^2+(1-eta1
*eta2*omega^2/(E1*E2))^2):\n" }{MPLTEXT 1 0 13 "#rho0:=8000:\n" }
{MPLTEXT 1 0 12 "#E:=2000E6:\n" }{MPLTEXT 1 0 13 "#E0:=8000E6:\n" }
{MPLTEXT 1 0 10 "P:=0.7E6:\n" }{MPLTEXT 1 0 9 "h:=0.15:\n" }{MPLTEXT
1 0 16 "c:=sqrt(E/rho):\n" }{MPLTEXT 1 0 20 "#c0:=sqrt(E0/rho0):\n" }
{MPLTEXT 1 0 11 "T0:=0.025:\n" }{MPLTEXT 1 0 29 "f1:=P*sin(2*Pi/T0*(t-
T0/4)):\n" }{MPLTEXT 1 0 32 "#f1:=P+P*sin(2*Pi/T0*(t-T0/4)):\n" }
{MPLTEXT 1 0 7 "u2:=0:\n" }{MPLTEXT 1 0 25 "T1:=fourier(f1,t,omega):\n
" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 27 "#US2:=fo
urier(u2,t,omega):\n" }{MPLTEXT 1 0 28 "#US:=Matrix([[US1],[US2]]);\n
" }{MPLTEXT 1 0 269 "K := matrix([[-I*omega*E*(1+exp(-2*I*omega*h/c))/
(c*(-1+exp(-2*I*omega*h/c))), 2*I*omega*E*exp(-I*omega*h/c)/(c*(-1+exp
(-2*I*omega*h/c)))], [2*I*omega*E*exp(-I*omega*h/c)/(c*(-1+exp(-2*I*om
ega*h/c))), -I*omega*E*(1+exp(-2*I*omega*h/c))/(c*(-1+exp(-2*I*omega*h
/c)))]]):\n" }{MPLTEXT 1 0 268 "#H := matrix([[I*c*(1+exp(-2*I*omega*h
/c))/((-1+exp(-2*I*omega*h/c))*E*omega), 2*I*exp(-I*omega*h/c)*c/((-1+
exp(-2*I*omega*h/c))*E*omega)], [2*I*exp(-I*omega*h/c)*c/((-1+exp(-2*I
*omega*h/c))*E*omega), I*c*(1+exp(-2*I*omega*h/c))/((-1+exp(-2*I*omega
*h/c))*E*omega)]]):\n" }{MPLTEXT 1 0 30 "#T:=simplify(multiply(K,US)):
\n" }{MPLTEXT 1 0 13 "#T1:=T[1,1]:\n" }{MPLTEXT 1 0 16 "US1:=T1/K[1,1]
:\n" }{MPLTEXT 1 0 29 "u1:=invfourier(US1,omega,t);\n" }{MPLTEXT 1 0
24 "re_data:=evalf(Re(u1)):\n" }{MPLTEXT 1 0 21 "#with(Optimization):
\n" }{MPLTEXT 1 0 33 "#Minimize(re_data,\{t>=0,t<=T0\});\n" }{MPLTEXT
1 0 36 "minimize(re_data,t=0..T0,location);\n" }{MPLTEXT 1 0 22 "plot(
f1,t=-T0..5*T0);\n" }{MPLTEXT 1 0 26 "plot(re_data,t=-T0..5*T0);" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#u1G*&^$$\"+h>#)\\g!#&*$!\"!\"\"!\"
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1 "" {XPPMATH 20 "6$$!+-YJs8!#9<#7$<#/%\"tG$\"+S%)>4!)!#8F#" }}{PARA
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